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Finding the Fourth Proportional to 205,075.70, 307,613.55 and 182,525.30

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Solution

The fourth proportional to 205,075.70, 307,613.55 and 182,525.30 is: 273,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,075.70 : 307,613.55 = 182,525.30 : x
  2. Step 2: Convert to fraction form
    205,075.70/307,613.55 = 182,525.30/x
  3. Step 3: Cross multiply
    205,075.70x = 307,613.55 × 182,525.30
  4. Step 4: Simplify right side
    205,075.70x = 56,147,255,497.82
  5. Step 5: Solve for x
    x = 56,147,255,497.82/205,075.70
  6. Step 6: Final answer
    x = 273,787.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.